Barrier billiards-a simple pseudo-integrable system

DOI10.1088/0305-4470/23/6/014zbMath0714.70015OpenAlexW2002090137MaRDI QIDQ3200614

J. H. Hannay, R. J. McCraw

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/23/6/014

zbMATH Keywords

billiardclassical particleplane with periodic lattice of inpenetrable line- segmentspseudo-integrable systemtrajectory gradient

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (10)

Periodic orbits and semiclassical form factor in barrier billiards ⋮ Barrier billiard and random matrices ⋮ Spectral properties of quantized barrier billiards ⋮ Polygonal billiards: correspondence between classical trajectories and quantum eigenstates ⋮ Fermi acceleration and adiabatic invariants for non-autonomous billiards ⋮ A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics ⋮ A finite-time exponent for random Ehrenfest gas ⋮ Chaos, fractional kinetics, and anomalous transport ⋮ Microwave studies of the spectral statistics in chaotic systems ⋮ Self-similar correlations in a barrier billiard

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